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A cone, a hemisphere and a cylinder all have the same base radius, and the height of the cone and of the cylinder each equals that radius. Find the ratio of their volumes in that order.

Competition practiceAreas & Volumes
  • A1:3:2
  • B2:1:3
  • C3:2:1
  • D1:2:3

Step-by-Step Solution

With height = , the volumes are (1/3)π, (2/3)π and π. Multiplying each by 3/(π) gives 1 : 2 : 3.
Answer: D) 1:2:3

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